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Finding the Fourth Proportional to 312,347.35, 431,765.72 and 278,689.42

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Solution

The fourth proportional to 312,347.35, 431,765.72 and 278,689.42 is: 385,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,347.35 : 431,765.72 = 278,689.42 : x
  2. Step 2: Convert to fraction form
    312,347.35/431,765.72 = 278,689.42/x
  3. Step 3: Cross multiply
    312,347.35x = 431,765.72 × 278,689.42
  4. Step 4: Simplify right side
    312,347.35x = 120,328,538,082.68
  5. Step 5: Solve for x
    x = 120,328,538,082.68/312,347.35
  6. Step 6: Final answer
    x = 385,239.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.